If the y coordinate does not change, it is a horizontal line.
In an x-y coordinate system, a horizontal line is represented by a constant y-value across all x-values. This means that no matter how far you move left or right along the x-axis, the y-coordinate remains the same. Mathematically, a horizontal line can be expressed as the equation ( y = c ), where ( c ) is a constant. Such lines are parallel to the x-axis.
An equation of a line that is parallel to the y-axis is a vertical line. For a vertical line that passes through the coordinate (2, 4), the equation is simply x = 2. This means that for any value of y, the x-coordinate remains constant at 2.
coordinate grid
The coordinate grid.
A vertical line has an undefined slope because it does not rise or fall as it moves along the x-axis; instead, it remains constant at a specific x-coordinate. The y-intercept is also not defined for a vertical line since it does not intersect the y-axis at a single point. Thus, a vertical line can be expressed in the form (x = a), where (a) is the constant x-coordinate.
"The" vertical line is wrong; there are lots of vertical lines on a coordinate plane. In the usual x-y coordinate system, such a line has an equation of the form:x = a (for some constant "a"); for example: x = 3
A y coordinate is when you have a long line (y axis) and you coordinate (put numbers on that line) and you graph them
coordinate grid
The coordinate grid.
A horizontal line is a straight line that runs parallel to the x-axis in a Cartesian coordinate system. It has a constant y-coordinate, meaning that every point on the line has the same vertical position. As a result, it does not rise or fall, remaining level across its length. In mathematical terms, a horizontal line can be represented by the equation ( y = c ), where ( c ) is a constant.
The line parallel to the x-axis is called a horizontal line. It has a constant y-coordinate for all points on the line, meaning it does not rise or fall as it moves along the x-axis. The equation of a horizontal line can be expressed in the form (y = b), where (b) is the y-coordinate of any point on the line.
The x-coordinate is zero. The y-coordinate depends on the individual line.
A line is just a line, but the y-coordinate (the point where the line intersects the y-axis) is termed the y intercept. This point has an x coordinate that is always zero and the y coordinate can be positive, zero, or negative
Coordinate plane
a coordinate system
In the co-ordinate plane The horizontal number line is the 'x-axis'. The vertical number line is the y-axis. They intersect at the 'origin' ; coordinate (0,0) In the 3-dimensional system there is a third number line going from front to back , this is the z-axis. All three axes intersect at the origin , and have the the coordinates ( x,y,z) = (0,0,0)
It is the y-coordinate of the intercept (the x-coordinate being 0).